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Mathematical Skills in Chemistry

Yield, atom economy and logarithmic quantities

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on percentage yield and atom economy, why a yield cannot exceed 100%, and converting between pH, [H⁺], Ka and pKa.

What you need to know

Answer each one before you reveal it.

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Numbers

Why does an addition reaction have 100% atom economy, how does Kc change when an exothermic reaction is heated, and what is the estimated mass of 0.49 mol of calcium carbonate (Mᵣ 100)?

Numbers

A solution has pH 3.40. What is [H⁺]?

Numbers

Why can a 0.10 mol dm⁻³ solution of a weak acid not have a pH of 1.0?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Calculate the atom economy for CaCO₃ → CaO + CO₂ when calcium oxide is the desired product, given Mᵣ(CaCO₃) = 100.1 and Mᵣ(CaO) = 56.1.

    Model answer

    The atom economy is (56.1 ÷ 100.1) × 100 = 56.0%.

  2. 2

    Why does an addition reaction always have an atom economy of 100%?

    Model answer

    All the atoms of the reactants end up in the single product, so no mass is diverted into a by-product.

  3. 3

    Calculate the atom economy for C₂H₅OH + HBr → C₂H₅Br + H₂O when bromoethane is wanted, given Mᵣ values of 46.0, 80.9, 108.9 and 18.0.

    Model answer

    The atom economy is 108.9 ÷ (46.0 + 80.9) × 100 = 85.8%.

  4. 4

    Propane burns as C₃H₈ + 5O₂ → 3CO₂ + 4H₂O. Calculate the amount of oxygen needed to burn 0.0200 mol of propane.

    Model answer

    The ratio is 1:5, so the amount of oxygen needed is 0.0200 × 5 = 0.100 mol.

  5. 5

    Calculate the percentage by mass of carbon in ethanol, C₂H₅OH, given Mᵣ = 46.0 and Aᵣ(C) = 12.0.

    Model answer

    The percentage is (24.0 ÷ 46.0) × 100 = 52.2%.

  6. 6

    A forward reaction is exothermic. Without calculating, state how Kc changes when the temperature is raised.

    Model answer

    Kc decreases, because the equilibrium shifts in the endothermic reverse direction to oppose the temperature rise.

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